How to make a piecewise function continous by finding the value k

The video tutorial explains how to determine the value of K that makes two functions continuous at X = 3. It involves setting up an equation, solving for K, and graphing the functions to visualize their intersection at the specified point. The process is similar to basic algebra, emphasizing the importance of both X and Y values being equal for continuity.

What are the Y values that need to be equal for the functions to be continuous?

Explain the process of finding the value of K for continuity at X = 3.

What value of K makes the two functions continuous at X = 3?

Describe the significance of graphing the two functions with K = -3.

What happens to the functions at X = 3 when K is set to -3?